Prove that the bisectors of the angles of a linear pair are at right angle.

If the angles of a linear pair are equal, then each angle is _____

Two angles of a linear pair are in the ratio 1:5. Find angles.

Prove that the bisector of the vertical angle of an isosceles triangle bisects the base at right angles.

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

Prove that the internal bisectors of the angles of a triangle are concurrent

AB,CD are two parallel lines and a transversal l intersects AB at X and CD at Y Prove that the bisectors of the interior angles form a parallelogram,with all its angles right angles i.e.,it is a rectangle.

Prove that bisectors of any two adjacent angles of a rhombus from a right angled triangle with common arm of the angles.

What is the type of other angle of a linear pair if (a) one of its angle is acute? (b) one of its angles is obtuse? (c) one of its angles is right?

If two parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles enclose a rectangle.